431052516 has 120 divisors (see below), whose sum is σ = 1186890936. Its totient is φ = 136235520.

The previous prime is 431052481. The next prime is 431052539. The reversal of 431052516 is 615250134.

431052516 is a `hidden beast` number, since 43 + 105 + 2 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108993600 + 322058916 = 10440^2 + 17946^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 431052516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 491070 + ... + 491946.

Almost surely, 2^431052516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431052516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593445468).

431052516 is an abundant number, since it is smaller than the sum of its proper divisors (755838420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431052516 is a wasteful number, since it uses less digits than its factorization.

431052516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 431052516 is about 20761.8042568559. The cubic root of 431052516 is about 755.3995610316.

The spelling of 431052516 in words is "four hundred thirty-one million, fifty-two thousand, five hundred sixteen".